Deformable Thin Films: from Macroscale to Microscale and from Nanoscale to Microscale Richard D. James University of Minnesota USA CNA Summer.

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Presentation on theme: "Deformable Thin Films: from Macroscale to Microscale and from Nanoscale to Microscale Richard D. James University of Minnesota USA CNA Summer."— Presentation transcript:

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Deformable Thin Films: from Macroscale to Microscale and from Nanoscale to Microscale Richard D. James University of Minnesota USA james@umn.edu CNA Summer School 2001 SO(3) References for the lectures found on pages 5, 23, 27, 29 of these slides

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Reference: Lecture 3 G. Friesecke and R. D. James, A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods, Journal of the Mechanics and Physics of Solids 48 (2000), 1519-1540

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References: Lecture 4 R. D. James and Raffaella Rizzoni, Piecewise rigid body mechanics (Preprint available from james@umn.edu) R. D. James, Part I. Real and configurational forces in magnetism; Part II. Analysis of a microscale cantilever, preprint available. A version of these notes, together with simulations of the cantilever in a magnetic field, to be submitted by R. D. James and H. Tang to a volume of Continuum Mechanics and Thermodynamics in honor of I. Muller, with the anticipated publication date of February, 2002. (See the thesis of Anja Schlömerkemper MPI Leipzig (adv. S. Müller), for a rigorous derivation of the formula for the force on a subregion of a ferromagnetic body from an atomic model (a lattice of dipoles); her formula disagrees with the accepted one. This formula plays an important role in the magnetic version of the theory, PRMM.)

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References: Lecture 4, cont. General background on theory for ferromagnetic shape memory materials can be found in, R. D. James and M. Wuttig, Magnetostriction of martensite, Phil. Mag. A77 (1998), 1273. The structure of this theory and the prescription for the energy wells follows largely from, R. D. James and D. Kinderlehrer, A theory of magnetostriction with applications to Tb x Dy 1-x Fe 2, Phil. Mag. 68 (1993), 237-274